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Finding the Fourth Proportional to 202,983.20, 304,345.20 and 84,701.60

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Solution

The fourth proportional to 202,983.20, 304,345.20 and 84,701.60 is: 126,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,983.20 : 304,345.20 = 84,701.60 : x
  2. Step 2: Convert to fraction form
    202,983.20/304,345.20 = 84,701.60/x
  3. Step 3: Cross multiply
    202,983.20x = 304,345.20 × 84,701.60
  4. Step 4: Simplify right side
    202,983.20x = 25,778,525,392.32
  5. Step 5: Solve for x
    x = 25,778,525,392.32/202,983.20
  6. Step 6: Final answer
    x = 126,998.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.